Outside broadcast follows golf tournament (4-3)
I believe the answer is:
open-air
'outside' is the definition.
(similar in meaning)
'broadcast follows golf tournament' is the wordplay.
'broadcast' becomes 'air' (synonyms).
'follows' means one lot of letters go next to another.
'golf tournament' becomes 'open' (I've seen this before).
'air' put after 'open' is 'OPEN-AIR'.
(Other definitions for open-air that I've seen before include "Alfresco" , "outside" , "Outdoor" , "Taking place outdoors" , "not below roof" .)